Unit Zero – Patterns
Overview
Concepts are introduced in this unit so that they can be discussed and solidified throughout the year. Students should be at a developmental level at the end of this unit, but perhaps will not have attained full mastery of all concepts.
Students should understand . . .
  • Variables and how we use them
  • Equivalent expressions
  • Connection between multiplication and repeated addition
Students should be able to . . .
  • Write an equation for a linear function
  • Identify the dependent variable and place it on the vertical axis
  • Create multiple representations of a simple linear function
  • Students should be able to identify the rate of change from a pictoral representation, a table, a graph, and a verbal description
  • Students should be able to identify the zero step from a pictoral representation, a table, a graph, and a verbal description
  • Diffentiate between discrete and continous functions when given a context and show how this is reflected on the graph
  • Determine if a function is linear using a graph
  • Determine if a function is linear using a table
  • Interpret an ordered pair

Exploring Patterns Warmups
Exploring Patterns Exits

Day(s)
Section
Lesson Title/Lesson Objectives
1

Painting Towers/ Set expectations for group work
L1 Painting Towers.docx
2

Painting Towers Multiple Representations
L2 Painting Towers Multiple Representations.docx
3

The Border Problem/Writing equivalent numeric expressions
L3 The Border Problem.docx
4

The Border Problem – Changing the Size of the Grid/Writing equivalent variable expressions
L4 The Border Problem Changing the Size of the Grid.docx
5

Simplify Expressions (extra support on problems 5, 12-14 on FOIL & 7-10 on dist. negatives)
L5 Simplify Variable Expressions.docx
6

The Border Problem – Multiple Representations/introduce rate of change
L6 The Border Problem Multiple Representations.docx
7

Tiling a Garden Patio/different strategies of representing the same pattern
L7 Tiling a Graden Patio.docx
8

Exploring Patterns – Extended table/intro to zero step & connection between mult & repeated add.
L8-1 Exploring Patterns.docx
Exploring Patterns Expanded Tables.docx
9

More Practice Exploring Patterns/intro to negative zero step
L9 More Practice Exploring Patterns.docx
10

Review (optional lessons Pattern Matching, Slides & Hops)
T1 Test Review.docx
T2 Test.docxt
11

Test
home